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Simplifying 6(x + -7) = -7(x + -7) Reorder the terms: 6(-7 + x) = -7(x + -7) (-7 * 6 + x * 6) = -7(x + -7) (-42 + 6x) = -7(x + -7) Reorder the terms: -42 + 6x = -7(-7 + x) -42 + 6x = (-7 * -7 + x * -7) -42 + 6x = (49 + -7x) Solving -42 + 6x = 49 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -42 + 6x + 7x = 49 + -7x + 7x Combine like terms: 6x + 7x = 13x -42 + 13x = 49 + -7x + 7x Combine like terms: -7x + 7x = 0 -42 + 13x = 49 + 0 -42 + 13x = 49 Add '42' to each side of the equation. -42 + 42 + 13x = 49 + 42 Combine like terms: -42 + 42 = 0 0 + 13x = 49 + 42 13x = 49 + 42 Combine like terms: 49 + 42 = 91 13x = 91 Divide each side by '13'. x = 7 Simplifying x = 7
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